Categories isomorphic to FNS

DOI10.1016/S0165-0114(98)00097-9zbMath0940.54008MaRDI QIDQ1304245

Luoshan Xu, Dexue Zhang

Publication date: 17 July 2000

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Mathematics Subject Classification ID

Fuzzy topology (54A40) Categorical methods in general topology (54B30)

Related Items (25)

Some separation axioms in \(I\)-fuzzy topological spaces ⋮ A note on specialization \(L\)-preorder of \(L\)-topological spaces, \(L\)-fuzzifying topological spaces, and \(L\)-fuzzy topological spaces ⋮ One-to-one correspondence between fuzzifying topologies and fuzzy preorders ⋮ \(L\)-fuzzifying topologies as \(L\)-topologies ⋮ Generated \(I\)-fuzzy topological spaces ⋮ Lowen LM-fuzzy topological spaces ⋮ On fuzzy uniformities induced by a fuzzy metric space ⋮ A comparison of various uniformities in fuzzy topology. ⋮ Lowen spaces ⋮ A new definition of fuzzy k-pseudo metric and its induced fuzzifying structures ⋮ Fuzzifying topology induced by a strong fuzzy metric ⋮ On lower separation and regularity axioms in fuzzy topological spaces ⋮ On fuzzy pseudo-metric spaces ⋮ Degrees of fuzzy compactness in \(L\)-fuzzy topological spaces ⋮ On separation axioms in \(I\)-fuzzy topological spaces ⋮ Characterizations of fuzzifying topologies by some limit structures ⋮ Fuzzy pseudometric spaces vs fuzzifying structures ⋮ Fuzzifying topological vector spaces on completely distributive lattices ⋮ Connecting fuzzifying topologies and generalized ideals by means of fuzzy preorders ⋮ Alternative characterizations of \(\mathbf{FNCS}\) ⋮ Some categorical aspects of fuzzy topology ⋮ On the reflectivity and coreflectivity of \(L\)-fuzzyfying topological spaces in \(L\)-topological spaces. ⋮ ON THE RELATIONSHIPS BETWEEN VARIOUS LATTICE-VALUED TOPOLOGICAL GROUPS AND THEIR UNIFORMITIES ⋮ \(M\)-fuzzifying \(k\)-pseudo metric space and its induced \(M\)-fuzzifying structures ⋮ A new approach to fuzzy partial metric spaces

Cites Work

• The categorical topology approach to fuzzy topology and fuzzy convergence
• On the determination of fuzzy topological spaces and fuzzy neighbourhood spaces by their level-topologies
• Characterization of convergence in fuzzy topological spaces
• Reflectors and coreflectors in the category of fuzzy topological spaces
• Fuzzy neighborhood spaces
• Fuzzy uniform spaces
• The relationship between a fuzzy uniformity and its family of \(\alpha\)-level uniformities
• Stable subconstructs of FTS. II
• Fuzzy neighborhood convergence spaces
• A new approach for fuzzy topology. I
• Convergence in fuzzy topological spaces
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